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Automatic extraction of 3D anatomical feature curves of
"... hip bone models reconstructed from CT images ..."
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Research Statement
"... Pattern Theory was initiated by Ulf Grenander about thirty years ago. The aim is to analyze patterns from a statistical point of view in all “signals ” generated by the world, whether they be visual, acoustical, textual, molecular (e.g., DNA strings), neural, etc. Patterns are described using hidden ..."
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Pattern Theory was initiated by Ulf Grenander about thirty years ago. The aim is to analyze patterns from a statistical point of view in all “signals ” generated by the world, whether they be visual, acoustical, textual, molecular (e.g., DNA strings), neural, etc. Patterns are described using hidden variables, together with their probability distributions, whereas signals, or relevant functions of the signals, are modeled conditionally on the hidden variables. In principle, the detection of patterns in noisy and ambiguous samples can then be achieved by the use of Bayes’s rule. An overview of pattern theory as a mathematical theory of perception was presented during the International Congress of Mathematics in 2002; see [13]. There are enormous difficulties in realizing the pattern theory program. Initially, I was inspired by problems arising in computer vision where the signal is a still image and the pattern is an object. This research is described in Section 2. Recently, I have diversified my research to include applications in natural language modeling and bio-informatics. This work was motivated by questions concerning statistical modeling in the small sample situation and in particular the technique of maximum entropy on the mean. This work is described in
A System for Unsupervised Extraction of Orthopedic Parameters from CT Data
"... Abstract: The request for software assistance is increasingly gaining importance in the field of orthopedic surgery. In the near future more people will need implants, which have to last longer. New developments in computer assisted therapy planning promise to significantly reduce the number of revi ..."
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Abstract: The request for software assistance is increasingly gaining importance in the field of orthopedic surgery. In the near future more people will need implants, which have to last longer. New developments in computer assisted therapy planning promise to significantly reduce the number of revisions and increase the longevity of an implant. For example the computation of the functional outcome of a total knee re-placement by prediction of kinematics may provide important guidance during surgery. Speed, accuracy and as little manual interaction as possible are the key factors to make those new developments available to the clinical routine. To reach this goal we present a software assistant for the reconstruction of individual anatomical models (e.g. geom-etry and landmarks) from medical image data, which is an essential step in this effort. We will present and discuss present and future application scenarios. 1